Exercises for Question Type 1: Finding solutions to quadratic equations by turning into ax^2+bx+c=0 and solving for x

Question 1

Skill question

Solve the equation $\frac{2}{3} x^{2} - \frac{5}{3} x + 1 = 0$ .

[3]

Question 2

Skill question

Solve $0.5 x^{2} + x - 3 = 0$ for $x$ .

[3]

Question 3

Skill question

Solve the quadratic equation $4 x^{2} + 42 x + 2 = 0$ for $x$ .

[4]

Question 4

Skill question

Solve the quadratic equation $4 x^{2} + 6 x - 10 = 0$ for $x$ .

[3]

Question 5

Skill question

Find the roots of $x^{2} - 5 x + 6 = 0$ .

[3]

Question 6

Skill question

Find the roots of $2 x^{2} - 7 x + 3 = 0$ .

[3]

Question 7

Skill question

Solve the equation $5 x^{2} - 20 x + 15 = 0$ for $x$ .

[3]

Question 8

Skill question

Solve $4 x^{2} - 12 x + 9 = 0$ for $x$ .

[3]

Question 9

Skill question

Solve $x^{2} - 4 x + 5 = 0$ and state the nature of the roots.

[5]

Question 10

Skill question

Solve $2 x^{2} + 3 x = 5$ for $x$ .

[4]

Question 11

Skill question

Solve the quadratic equation $x^{2} + 4 x + 1 = 0$ .

[3]

Question 12

Skill question

Find the solutions to $3 x^{2} - x - 2 = 0$ .

[2]

IB Mathematics Analysis and Approaches Question Type 1: Finding Solutions to Quadratic Equations by Turning Into Ax^2+bx+c=0 and Solving for x Exercises